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Proof step 141 from proof exvalidrefs-nodups (previous step)

st[r -- _type] .type = mkclasstype(class1), class1 ≤ class2, class+∃(str, class1), r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ is_obj(r, st[r -- _type] .type .class, st), mkfs(class0, mkclasstype(class2), fieldvar) ' ∈ instfields(class), class2 ≤ class, class1 ≤ class, ∀ r, str, st0. # st0 .refs < # st .refs → ( ¬ junkref(str, r, st0) ∧ ¬ cyclic(str, r, st0) ∧ is_obj(str, r, st0) ∧ r ≠ jvmref ∧ (∃ fs, class. fs ' ∈ instfields(class) ∧ fs .type ≤ mkclasstype(class) ∧ st0[r -- _type] .type ≤ fs .type) → (∃ refs. validrefs(str, refs, st0[r -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ refs .last = jvmref)) ⊦ r = jvmref, is_referencevalue(st[r -- mkfs(class0, mkclasstype(class2), fieldvar) ']), cyclic(str, r, st), is_abstract(class1), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ refs .last = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 140:
st[r -- _type] .type = mkclasstype(class1), is_typevalue(st[r -- _type]), r -- _type ∈ st, class+∃(str, class1), class1 ≤ class2, r ∈ st, class1 ≤ class, class2 ≤ class, mkfs(class0, mkclasstype(class2), fieldvar) ' ∈ instfields(class), is_obj(r, class1, st), ∀ r, str, st0. # st0 .refs < # st .refs → ( ¬ junkref(str, r, st0) ∧ ¬ cyclic(str, r, st0) ∧ is_obj(str, r, st0) ∧ r ≠ jvmref ∧ (∃ fs, class. fs ' ∈ instfields(class) ∧ fs .type ≤ mkclasstype(class) ∧ st0[r -- _type] .type ≤ fs .type) → (∃ refs. validrefs(str, refs, st0[r -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ refs .last = jvmref)) ⊦ r = jvmref, is_abstract(class1), cyclic(str, r, st), is_referencevalue(st[r -- mkfs(class0, mkclasstype(class2), fieldvar) ']), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ refs .last = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]